Semi-infinite solids A (initially at 0°C) and B (initially at 100°C) are placed in contact with each other. Materials A and B have identical properties except for conductivity. The conductivities are related by the equation KA = 10kg. Calculate the equilibrium temperature at the surface where the solids come into contact [°C].

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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B.2
Gaussian Error Function
W
0.00
0.02
0.04
0.06
0.08
0.10
0.12
0.14
0.16
0.18
0.20
0.22
0.24
0.26
0.28
0.30
0.32
0.34
erf w
0.00000
0.02256
0.04511
0.06762
0.09008
0.11246
0.13476
0.15695
0.17901
0.20094
0.22270
0.24430
0.26570
0.28690
0.30788
0.32863
0.34913
0.36936
W
0.36
0.38
0.40
0.44
0.48
0.52
0.56
0.60
0.64
0.68
0.72
0.76
0.80
0.84
0.88
0.92
0.96
1.00
erf w
0.38933
0.40901
0.42839
0.46622
0.50275
0.53790
0.57162
0.60386
0.63459
0.66378
0.69143
0.71754
0.74210
0.76514
0.78669
0.80677
0.82542
0.84270
W
1.04
1.08
1.12
1.16
1.20
1.30
1.40
1.50
1.60
1.70
1.80
1.90
2.00
2.20
2.40
2.60
2.80
3.00
erf w
0.85865
0.87333
0.88679
0.89910
0.91031
0.93401
0.95228
0.96611
0.97635
0.98379
0.98909
0.99279
0.99532
0.99814
0.99931
0.99976
0.99992
0.99998
Transcribed Image Text:B.2 Gaussian Error Function W 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16 0.18 0.20 0.22 0.24 0.26 0.28 0.30 0.32 0.34 erf w 0.00000 0.02256 0.04511 0.06762 0.09008 0.11246 0.13476 0.15695 0.17901 0.20094 0.22270 0.24430 0.26570 0.28690 0.30788 0.32863 0.34913 0.36936 W 0.36 0.38 0.40 0.44 0.48 0.52 0.56 0.60 0.64 0.68 0.72 0.76 0.80 0.84 0.88 0.92 0.96 1.00 erf w 0.38933 0.40901 0.42839 0.46622 0.50275 0.53790 0.57162 0.60386 0.63459 0.66378 0.69143 0.71754 0.74210 0.76514 0.78669 0.80677 0.82542 0.84270 W 1.04 1.08 1.12 1.16 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.20 2.40 2.60 2.80 3.00 erf w 0.85865 0.87333 0.88679 0.89910 0.91031 0.93401 0.95228 0.96611 0.97635 0.98379 0.98909 0.99279 0.99532 0.99814 0.99931 0.99976 0.99992 0.99998
Solve the following equation for x:
erfc(x) = 0.125
Your Answer:
1.085
Answer
Semi-infinite solids A (initially at 0°C) and B (initially at 100°C) are placed in contact
with each other. Materials A and B have identical properties except for conductivity.
The conductivities are related by the equation KA = 10kg. Calculate the equilibrium
temperature at the surface where the solids come into contact [°C].
Your Answer:
10
Transcribed Image Text:Solve the following equation for x: erfc(x) = 0.125 Your Answer: 1.085 Answer Semi-infinite solids A (initially at 0°C) and B (initially at 100°C) are placed in contact with each other. Materials A and B have identical properties except for conductivity. The conductivities are related by the equation KA = 10kg. Calculate the equilibrium temperature at the surface where the solids come into contact [°C]. Your Answer: 10
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